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Finding the Fourth Proportional to 412,202.12, 618,458.90 and 159,497.81

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Solution

The fourth proportional to 412,202.12, 618,458.90 and 159,497.81 is: 239,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,202.12 : 618,458.90 = 159,497.81 : x
  2. Step 2: Convert to fraction form
    412,202.12/618,458.90 = 159,497.81/x
  3. Step 3: Cross multiply
    412,202.12x = 618,458.90 × 159,497.81
  4. Step 4: Simplify right side
    412,202.12x = 98,642,838,554.45
  5. Step 5: Solve for x
    x = 98,642,838,554.45/412,202.12
  6. Step 6: Final answer
    x = 239,306.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.